The mechanism of the anomalous variation of grain size for Fe-based nanocrystalline alloys

Yang Wei-Ming; Liu Hai-Shun; Dun Chao-Chao; Zhao Yu-Cheng; Dou Lin-Ming

doi:10.7498/aps.61.106802

Abstract

The magnetic properties of the Fe-based nanocrystalline alloys are determined mainly by their grain sizes, and the mechanism of the variation of grain size with annealing temperature is an important issue in the study of nanocrystalline alloys. In this paper, the relationships between grain size and annealing temperature for these alloys within the primary crystallization temperature (Tx1) and the secondary crystallization temperature (Tx2) for 1 h are investigated, and a corresponding model is proposed. The physical mechanism of the fact that the grain size first decreases and then increases with the increase of annealing temperature is explained by using this model. It is found that the grain size has a minimum value when these alloys are isochronally annealed at the temperature near 0.6 times that of the melting point. Theoretical analysis results are found to be in agreement with the experiments data within the investigated temperature range. This investigation provides a means to obtain the smallest grain size quickly.

Keywords:

Authors and contacts

1.
School of Sciences, China University of Mining and Technology, Xuzhou 221116, China;
2.
State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Xuzhou 221008, China;
3.
School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China
Funds: Project supported by the National Basic Research Program of China (Grant No. 2010CB226805) and the National Natural Science Foundation of China (Grant Nos. 51074155, 50834004).

References

[1]	Inoue A, Shen B L, Koshiba H, Kato H, Yavari A R 2003 Nat. Mater. 2 661
[2]	Shen B L, Zhou Y J, Chang C T, Inoue A 2007 J. Appl. Phys. 101 09N101
[3]	Fan X D, Ma A B, Men H, Xie G Q, Shen B L, Makino A, Inoue A 2011 J. Appl. Phys. 109 07A314
[4]	Li Y F, Feng S Q, Wang J Y 2011 Acta Phys. Sin. 60 037306 (in Chinese) [李印峰, 封素芹, 王建勇 2011 60 037306]
[5]	Han Y M, Wang Z, Che X H, Chen X G, Li W R, Li Y L 2009 Mater. Sci. Eng. B 156 57
[6]	Li A H, Lai B, Wang H J, Zhu M G, Li W 2011 Acta Phys. Sin. 60 027501 (in Chinese) [李安华, 赖彬, 王会杰, 朱明刚, 李卫 2011 60 027501]
[7]	Ding Y H, Li M J, Yang B H, Ma X 2011 Acta Phys. Sin. 60 097502 (in Chinese) [丁燕红, 李明吉, 杨保和, 马叙 2011 60 097502]
[8]	Herzer G 2005 J. Magn. Magn. Mater. 294 99
[9]	Yang Q M, Xu Q M, Fang Y Z, Mo C J 2009 Acta Phys. Sin. 58 4072 (in Chinese) [杨全民, 许启明, 方允樟, 莫婵娟 2009 58 4072]
[10]	Ji S, Yang G B, Wang R 1996 Acta Phys. Sin. 45 2061 (in Chinese) [纪松, 杨国斌, 王润 1996 45 2061]
[11]	Gao J E, Li H X, Jiao Z B, Wu Y, Chen Y H, Yu T, Lu Z P 2011 Appl. Phys. Lett. 99 052504
[12]	Liu H S, Wu Y, Zhang G Y, Yin C H, Du Y W 2008 J. Magn. Magn. Mater. 320 1705
[13]	Yang Q M, Xu Q M, Fang Y Z, Wang L L, Shi F Y 2007 Acta Phys. Sin. 57 3366 (in Chinese) [杨全民, 许启明, 方允樟, 王玲玲, 施方也 2007 57 3366]
[14]	Wang Z, He K Y, Yin J, Zhao Y H 1997 Acta Phys. Sin. 46 2054 (in Chinese) [王治, 何开元, 尹君, 赵玉华 1997 46 2054]
[15]	Darling K A, Chan R H, Wong P Z, Semones J E, Scattergood R O, Koch C C 2008 Scripta Mater. 59 530
[16]	Ramanujan R V, Zhang Y R 2006 Phys. Rev. B 74 224408
[17]	Shen T D, Schwarz R B, Thompson J D 2005 Phys. Rev. B 72 014431
[18]	Jiang J Z 1997 Nanostr. Mater. 9 245
[19]	Hermann H, Mattern N, Roth S, Uebele P 1997 Phys. Rev. B 56 13888
[20]	Tong H Y, Ding B Z, Jiang H G, Lu K, Wang J T, Hu Z Q 1994 J. Appl. Phys. 75 654
[21]	Herzer G 1997 Handbook on Magnetic Materials 10 415
[22]	Kulik T, Hernando A 1994 J. Magn. Magn. Mater. 138 270
[23]	Hoa L T M 2006 J. Alloys Compd. 420 50
[24]	Bzazhkin V V, Larchev V I, Popova S V, Skrotskaya G G 1989 Phys. Scripta 39 338
[25]	Fecht H J 1995 Mater. Trans. 36 777
[26]	Yao B, Guo H C, Wang J, Ding B Z, Li H, Wang A M, Hu Z Q 1996 Physica B 228 379
[27]	Guo Y C, Wang Z X 1984 Amorphous State Physics (Beijing: Science Press) p129 (in Chinese) [郭贻诚, 王震西 1984 非晶态物理学 (北京:科学出版社) 第129页]
[28]	Lu K, Wang J T 1992 Sci. China. Ser. A 36 554 (in Chinese) [卢柯, 王景唐 1992 中国科学A辑 36 554]
[29]	Tang J C, Mao X Y, Li S D, Gao W L, Du Y W 2004 J. Alloys Compd. 375 233
[30]	Lu K, Wang J T 1992 Sci. China. Ser. A 36 414 (in Chinese) [卢柯, 王景唐 1992 中国科学A辑 36 414]
[31]	Lu K 1994 Acta Metall. Sin. 30 B1 (in Chinese) [卢柯 1994 金属学报 30 B1]
[32]	Liang X, Kulik T, Ferenc J, Xu B 2007 J. Magn. Magn. Mater. 308 227
[33]	Ghannami M E I, Kulik T, Hernando A, Fernández B L, Gómez S J C, Gorria P, Barandiarán J M 1994 J. Magn. Magn. Mater. 133 314
[34]	Zhang S Y 2004 J. Magn. Mater. Devices 35 1 (in Chinese) [张世远 2004 磁性材料及器件 35 1]

Cited By

[1]	Inoue A, Shen B L, Koshiba H, Kato H, Yavari A R 2003 Nat. Mater. 2 661
[2]	Shen B L, Zhou Y J, Chang C T, Inoue A 2007 J. Appl. Phys. 101 09N101
[3]	Fan X D, Ma A B, Men H, Xie G Q, Shen B L, Makino A, Inoue A 2011 J. Appl. Phys. 109 07A314
[4]	Li Y F, Feng S Q, Wang J Y 2011 Acta Phys. Sin. 60 037306 (in Chinese) [李印峰, 封素芹, 王建勇 2011 60 037306]
[5]	Han Y M, Wang Z, Che X H, Chen X G, Li W R, Li Y L 2009 Mater. Sci. Eng. B 156 57
[6]	Li A H, Lai B, Wang H J, Zhu M G, Li W 2011 Acta Phys. Sin. 60 027501 (in Chinese) [李安华, 赖彬, 王会杰, 朱明刚, 李卫 2011 60 027501]
[7]	Ding Y H, Li M J, Yang B H, Ma X 2011 Acta Phys. Sin. 60 097502 (in Chinese) [丁燕红, 李明吉, 杨保和, 马叙 2011 60 097502]
[8]	Herzer G 2005 J. Magn. Magn. Mater. 294 99
[9]	Yang Q M, Xu Q M, Fang Y Z, Mo C J 2009 Acta Phys. Sin. 58 4072 (in Chinese) [杨全民, 许启明, 方允樟, 莫婵娟 2009 58 4072]
[10]	Ji S, Yang G B, Wang R 1996 Acta Phys. Sin. 45 2061 (in Chinese) [纪松, 杨国斌, 王润 1996 45 2061]
[11]	Gao J E, Li H X, Jiao Z B, Wu Y, Chen Y H, Yu T, Lu Z P 2011 Appl. Phys. Lett. 99 052504
[12]	Liu H S, Wu Y, Zhang G Y, Yin C H, Du Y W 2008 J. Magn. Magn. Mater. 320 1705
[13]	Yang Q M, Xu Q M, Fang Y Z, Wang L L, Shi F Y 2007 Acta Phys. Sin. 57 3366 (in Chinese) [杨全民, 许启明, 方允樟, 王玲玲, 施方也 2007 57 3366]
[14]	Wang Z, He K Y, Yin J, Zhao Y H 1997 Acta Phys. Sin. 46 2054 (in Chinese) [王治, 何开元, 尹君, 赵玉华 1997 46 2054]
[15]	Darling K A, Chan R H, Wong P Z, Semones J E, Scattergood R O, Koch C C 2008 Scripta Mater. 59 530
[16]	Ramanujan R V, Zhang Y R 2006 Phys. Rev. B 74 224408
[17]	Shen T D, Schwarz R B, Thompson J D 2005 Phys. Rev. B 72 014431
[18]	Jiang J Z 1997 Nanostr. Mater. 9 245
[19]	Hermann H, Mattern N, Roth S, Uebele P 1997 Phys. Rev. B 56 13888
[20]	Tong H Y, Ding B Z, Jiang H G, Lu K, Wang J T, Hu Z Q 1994 J. Appl. Phys. 75 654
[21]	Herzer G 1997 Handbook on Magnetic Materials 10 415
[22]	Kulik T, Hernando A 1994 J. Magn. Magn. Mater. 138 270
[23]	Hoa L T M 2006 J. Alloys Compd. 420 50
[24]	Bzazhkin V V, Larchev V I, Popova S V, Skrotskaya G G 1989 Phys. Scripta 39 338
[25]	Fecht H J 1995 Mater. Trans. 36 777
[26]	Yao B, Guo H C, Wang J, Ding B Z, Li H, Wang A M, Hu Z Q 1996 Physica B 228 379
[27]	Guo Y C, Wang Z X 1984 Amorphous State Physics (Beijing: Science Press) p129 (in Chinese) [郭贻诚, 王震西 1984 非晶态物理学 (北京:科学出版社) 第129页]
[28]	Lu K, Wang J T 1992 Sci. China. Ser. A 36 554 (in Chinese) [卢柯, 王景唐 1992 中国科学A辑 36 554]
[29]	Tang J C, Mao X Y, Li S D, Gao W L, Du Y W 2004 J. Alloys Compd. 375 233
[30]	Lu K, Wang J T 1992 Sci. China. Ser. A 36 414 (in Chinese) [卢柯, 王景唐 1992 中国科学A辑 36 414]
[31]	Lu K 1994 Acta Metall. Sin. 30 B1 (in Chinese) [卢柯 1994 金属学报 30 B1]
[32]	Liang X, Kulik T, Ferenc J, Xu B 2007 J. Magn. Magn. Mater. 308 227
[33]	Ghannami M E I, Kulik T, Hernando A, Fernández B L, Gómez S J C, Gorria P, Barandiarán J M 1994 J. Magn. Magn. Mater. 133 314
[34]	Zhang S Y 2004 J. Magn. Mater. Devices 35 1 (in Chinese) [张世远 2004 磁性材料及器件 35 1]

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Vol. 61, Issue 10 - 2012-05-20

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